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3 years ago

If a b and c are three different numbers which of the following equations has exactly one solution?

Mathematics

1 answer:

Mrrafil [7]3 years ago

4 0

Option B is correct.

Step-by-step explanation:

We need to identify which of the following equations has exactly one solution.

We will solve each equation to find the answer

A. $ax+b=ax+b$

Solving and finding value of x:

$ax+b=ax+b\\ax-ax=b-b\\0=0$

This equation has infinite number of solutions because both sides are equal to 0

B. $ax=bx+c$

Solving and finding value of x:

$ax=bx+c\\ax-bx=c\\x(a-b)=c\\x=\frac{c}{a-b}$

This equation has exactly one solution

C. $ax+b=ax+c$

$ax+b=ax+c\\ax-ax=c-b\\0=c-b$

This equation has no solution because both sides are not equal.

So, Option B is correct.

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

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Is a parallelogram always a square? yes no

polet [3.4K]

Answer:

yes

Step-by-step explanation:

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3 years ago

I need help please Solve the problems! CHECK PICTURE FOR QUESTION

aksik [14]

Check the picture below.

we know that AL is an angle bisector, so the angle at A gets cuts into two equal halves, we also know the angle at B is 30°, so the triangle ABC is really a 30-60-90 triangle, meaning the angle at A is really a 60° angle, cut in two halves gives us 30° and 30° as you see in the picture.

if the angles at A and B, inside the triangle ABL, are equal, twin angles are only made in an isosceles by twin sides, that means that AL = BL.

Looking at the triangle ALC, we can see is also another 30-60-90 triangle, and we can just use the 30-60-90 rule to get x=CL.

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2 years ago

How do you subtract 42 minutes from 1 hour ,25 minutes.explain what to do and why you do it?

aksik [14]

So 1 hour= 60 minutes
60+25= 85 minutes
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3 years ago

Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They

MariettaO [177]

The question is incomplete. The complete question is :

Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Jaina $300 7% 3 Once a year Tomas $400 4% 3 Once a year. Which pair of equations would correctly calculate their compound interests?

Solution :

It is given that Jaina and Tomas wants to open an account by depositing a principal amount for a period of 3 years and wanted to calculate the amount they will have using the compound interest formula.

So for Jiana :

Principal, P = $300

Rate of interest, r = 7%

Time, t = 3

Compounded yearly

Therefore, using compound interest formula, we get

$A=P\left(1+\frac{r}{100}\right)^{t}$